The Discrete Poisson-Janardan Distribution with Applications
Rama Shanker1, Shambhu Sharma2, Uma Shanker3, Ravi Shanker4, Tekie Asehun Leonida5
1Rama Shanker, Department of Statistics, Eritrea Institute of Technology, Asmara, Eritrea, India.
2Shambhu Sharma, Department of Mathematics, Dayalbagh Educational Institute, Agra, India.
3Uma Shanker, Department of Mathematics, K.K. College of Engineering and Management, Bihar Sharif (Nalanda), Bihar, India.
4Ravi Shanker, Department of Mathematics, G.L.A.College, N.P University, Daltonganj, Jharkhand, India .
5Tekie Asehun Leonida, Department of Mathematics, Eritrea Institute of Technology, Asmara, Eritrea, India.
Manuscript received on May 02, 2014. | Revised Manuscript received on May 03, 2014. | Manuscript published on May 05, 2014. | PP: 31-33 | Volume-4 Issue-2, May 2014. | Retrieval Number: B2184054214/2014©BEIESP
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©The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract: In the present paper a discrete Poisson-Janardan distribution (PJD), of which the Sankaran’s (1970) discrete Poisson-Lindley distribution (PLD) is a particular case, has been obtained by compounding Poisson distribution with the Janardan distribution of Shanker et al (2013). The first four moments of this distribution have been obtained and the estimation of its parameters using the method of maximum likelihood and the method of moments has been discussed. The distribution has been fitted to some data-sets to test its goodness of fit and its fitting of two data sets has been presented.
Keywords: Poisson-Lindley distribution, Janardan distribution, compounding, moments, estimation of parameters, goodness of fit.